Average Error: 6.1 → 1.8
Time: 20.7s
Precision: 64
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]
↓
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]
2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)
↓
2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r572894 = 2.0;
        double r572895 = x;
        double r572896 = y;
        double r572897 = r572895 * r572896;
        double r572898 = z;
        double r572899 = t;
        double r572900 = r572898 * r572899;
        double r572901 = r572897 + r572900;
        double r572902 = a;
        double r572903 = b;
        double r572904 = c;
        double r572905 = r572903 * r572904;
        double r572906 = r572902 + r572905;
        double r572907 = r572906 * r572904;
        double r572908 = i;
        double r572909 = r572907 * r572908;
        double r572910 = r572901 - r572909;
        double r572911 = r572894 * r572910;
        return r572911;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r572912 = 2.0;
        double r572913 = x;
        double r572914 = y;
        double r572915 = r572913 * r572914;
        double r572916 = z;
        double r572917 = t;
        double r572918 = r572916 * r572917;
        double r572919 = r572915 + r572918;
        double r572920 = a;
        double r572921 = b;
        double r572922 = c;
        double r572923 = r572921 * r572922;
        double r572924 = r572920 + r572923;
        double r572925 = i;
        double r572926 = r572922 * r572925;
        double r572927 = r572924 * r572926;
        double r572928 = r572919 - r572927;
        double r572929 = r572912 * r572928;
        return r572929;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original6.1
Target1.8
Herbie1.8
\[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Derivation

  1. Initial program 6.1

    \[2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(\left(a + b \cdot c\right) \cdot c\right) \cdot i\right)\]

  2. Simplified6.1

    \[\leadsto \color{blue}{2 \cdot \left(\left(y \cdot x + z \cdot t\right) - i \cdot \left(\left(a + b \cdot c\right) \cdot c\right)\right)}\]
  3. Using strategy rm

  4. Applied pow16.1

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - i \cdot \left(\left(a + b \cdot c\right) \cdot \color{blue}{{c}^{1}}\right)\right)\]

  5. Applied pow16.1

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - i \cdot \left(\color{blue}{{\left(a + b \cdot c\right)}^{1}} \cdot {c}^{1}\right)\right)\]

  6. Applied pow-prod-down6.1

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - i \cdot \color{blue}{{\left(\left(a + b \cdot c\right) \cdot c\right)}^{1}}\right)\]

  7. Applied pow16.1

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - \color{blue}{{i}^{1}} \cdot {\left(\left(a + b \cdot c\right) \cdot c\right)}^{1}\right)\]

  8. Applied pow-prod-down6.1

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - \color{blue}{{\left(i \cdot \left(\left(a + b \cdot c\right) \cdot c\right)\right)}^{1}}\right)\]

  9. Simplified1.8

    \[\leadsto 2 \cdot \left(\left(y \cdot x + z \cdot t\right) - {\color{blue}{\left(\left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)}}^{1}\right)\]

  10. Final simplification1.8

    \[\leadsto 2 \cdot \left(\left(x \cdot y + z \cdot t\right) - \left(a + b \cdot c\right) \cdot \left(c \cdot i\right)\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t a b c i)
  :name "Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, A"

  :herbie-target
  (* 2.0 (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))

  (* 2.0 (- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))))